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Finding the Fourth Proportional to 9,390.88, 12,964.56 and 6,411.12

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Solution

The fourth proportional to 9,390.88, 12,964.56 and 6,411.12 is: 8,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.88 : 12,964.56 = 6,411.12 : x
  2. Step 2: Convert to fraction form
    9,390.88/12,964.56 = 6,411.12/x
  3. Step 3: Cross multiply
    9,390.88x = 12,964.56 × 6,411.12
  4. Step 4: Simplify right side
    9,390.88x = 83,117,349.91
  5. Step 5: Solve for x
    x = 83,117,349.91/9,390.88
  6. Step 6: Final answer
    x = 8,850.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.